Principal solutions at infinity for time scale symplectic systems without controllability condition

DOI10.1016/j.jmaa.2016.06.057zbMath1343.93057OpenAlexW2470112051MaRDI QIDQ739498

Peter Šepitka, Roman Šimon Hilscher

Publication date: 18 August 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.06.057

zbMATH Keywords

controllabilitylinear Hamiltonian systemsymplectic systemtime scalenon-oscillationprincipal solution at infinity

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Time-scale analysis and singular perturbations in control/observation systems (93C70)

Related Items

Extremal solutions at infinity for symplectic systems on time scales I – Genera of conjoined bases ⋮ Extremal solutions at infinity for symplectic systems on time scales II - Existence theory and limit properties ⋮ Sufficiency and sensitivity for nonlinear optimal control problems on time scales via coercivity ⋮ A dynamic matrix exponential via a matrix cylinder transformation

Cites Work

• Recessive solutions for nonoscillatory discrete symplectic systems
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Time scale symplectic systems without normality
• Hamiltonian systems on time scales
• Linear Hamiltonian dynamic systems on time scales: Sturmian property of the principal solution.
• Minimal principal solution at infinity for nonoscillatory linear Hamiltonian systems
• Principal solutions at infinity of given ranks for nonoscillatory linear Hamiltonian systems
• Eigenvalue and oscillation theorems for time scale symplectic systems
• Applications of time scale symplectic systems without normality
• Disconjugacy
• Disconjugacy, transformations and quadratic functionals for symplectic dynamic systems on time scales
• Rayleigh principle for time scale symplectic systems and applications
• Oscillation of symplectic dynamic systems
• Generalized Inverses of Linear Transformations
• Time scale embedding theorem and coercivity of quadratic functionals
• Reid roundabout theorem for symplectic dynamic systems on time scales
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